10940822484480 has 720 divisors, whose sum is σ = 44113772658384. Its totient is φ = 2498699427840.

The previous prime is 10940822484463. The next prime is 10940822484481. The reversal of 10940822484480 is 8448422804901.

10940822484480 is a `hidden beast` number, since 1 + 0 + 9 + 4 + 0 + 82 + 2 + 4 + 84 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10940822484481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1685534035 + ... + 1685540525.

Almost surely, 2^{10940822484480} is an apocalyptic number.

10940822484480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10940822484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22056886329192).

10940822484480 is an abundant number, since it is smaller than the sum of its proper divisors (33172950173904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10940822484480 is a wasteful number, since it uses less digits than its factorization.

10940822484480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8027 (or 8001 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 10940822484480 in words is "ten trillion, nine hundred forty billion, eight hundred twenty-two million, four hundred eighty-four thousand, four hundred eighty".